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Finding the Third Proportional to 7,893,786 and 17,005,743

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Solution

The third proportional to 7,893,786 and 17,005,743 is: 36,635,816.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,893,786 : 17,005,743 = 17,005,743 : x
  2. Step 2: Convert to fraction form
    7,893,786/17,005,743 = 17,005,743/x
  3. Step 3: Cross multiply
    7,893,786x = 17,005,743 × 17,005,743
  4. Step 4: Simplify right side
    7,893,786x = 289,195,294,982,049
  5. Step 5: Solve for x
    x = 289,195,294,982,049/7,893,786
  6. Step 6: Final answer
    x = 36,635,816.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.